Top person sorted by normalized score

At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.

Clearly one 100,000,000 digit prime is much harder to discover than quite a few 100,000 digit primes. Based on the usual estimates we score the top persons, provers and projects by adding ‎(log n)³ log log n‎ for each of their primes n. Click on 'score' to see these lists.

Finally, to make sense of the score values, we normalize them by dividing by the current score of the 5000th prime. See these by clicking on 'normalized score' in the table on the right.

normalized person primes score 106359 Luke Durant 1 58.0015 25589 Curtis Cooper 8 56.5769 23028 Patrick Laroche 1 56.4714 18761 Jonathan (Jon) Pace 1 56.2664 16414 Ryan Propper 374 56.1328 4546 Tom Greer 124 54.8488 3715 Serge Batalov 392.333 54.6470 3156 Edson Smith 1 54.4841 3053 Odd Magnar Strindmo 1 54.4507 2003 Hans-Michael Elvenich 1 54.0294 1213 Dr. James Scott Brown 190 53.5282 1212 Steven R. Boone 1 53.5273 1171 Péter Szabolcs 1 53.4922 1150 Valter Cavecchia 118 53.4742 867 Antonio Lucendo 38 53.1920 798 Anonymous Person(s) 160 53.1088 705 Vaughan Davies 168 52.9853 669 Dr. Martin Nowak 1 52.9330 613 Mark Williams 21 52.8452 528 Josh Findley 1 52.6968

Notes:

normalized score

Just how do you make sense out of something as vague as our 'score' for primes? One possibility is to compare the amount of effort involved in earning that score, with the effort required to find the 5000th prime on the list. The normalized score does this: it is the number of primes that are the size of the 5000th, required to earn the same score (rounded to the nearest integer).

Note that if a person stops finding primes, its normalized score will steadily drop as the size of the 5000th primes steadily increases. The non-normalized scores drop too, but not as quickly because they only drop when the person's primes are pushed off the list.